摘要
On the Complex Difference Equation of Hypergeometric Type on Non-uniform Lattices Jin Fa CHENG Abstract In this article,we obtain a new fundamental theorems for Niki for ov-UvarovSuslov complex difference equation of hypergeometric type by the method of Euler integral transformation,its expression is different from Suslov’s Theorem.We also establish the adjoint equation for Nikiforov-Uvarov- Suslov difference equation of hypergeometric type on non-uniform lattices, and prove it to be a difference equation of hypergeometric type on non-uniform lattices as well. The particular solutions of the adjoint equation are then obtained. As an appliction of these particular solutions, we use them to obtain the particular solutions for the original diference equation of hypergeometric type on non- uniform lattices and other important results.
出处
《数学学报（中文版）》
CSCD
北大核心
2020年第4期I0001-I0003,共3页
Acta Mathematica Sinica：Chinese Series
